Entanglement Spheres and a UV-IR connection in Effective Field Theories

Abstract

We show that long-distance quantum correlations probe short-distance physics. Two disjoint regions of the latticized, massless scalar field vacuum are numerically demonstrated to become separable at distances beyond the negativity sphere, which extends to infinity in the continuum limit. The size of this quantum coherent volume is determined by the highest momentum mode supported in the identical regions, each of diameter $d$. More generally, effective field theories (EFTs), describing a system up to a given momentum scale $\Lambda$, are expected to share this feature -- entanglement between regions of the vacuum depends upon the UV-completion beyond a separation proportional to $\Lambda$. Through calculations extended to three-dimensions, the magnitude of the negativity at which entanglement becomes sensitive to UV physics in an EFT (lattice or otherwise) is conjectured to scale as $\sim e^{-\Lambda d}$, independent of the number of spatial dimensions. It is concluded that two-region vacuum entanglement at increasing separations depends upon the structure of the theory at increasing momentum scales. This phenomenon may be manifest in perturbative QCD processes.

9 pages, 3 figures, 4 appendices (4 figures and 2 tables)

References in corpus (14)

• Towards a derivation of holographic entanglement entropy
• Entanglement negativity in quantum field theory
• Entanglement entropy of two disjoint intervals in conformal field theory II
• Optimal entanglement criterion for mixed quantum states
• Spatial structures and localization of vacuum entanglement in the linear harmonic chain
• Deep inelastic scattering as a probe of entanglement: confronting experimental data
• Quantum Simulation of the Bosonic Creutz Ladder with a Parametric Cavity
• Geometry and entanglement in the scattering matrix
• Entanglement between Collective Operators in a Linear Harmonic Chain
• Geometric Quantum Information Structure in Quantum Fields and their Lattice Simulation
• Entanglement and thermalization
• Gravitational contributions to the electron $g$-factor
• A new mechanism for non-locality from string theory: UV-IR quantum entanglement and its imprints on the CMB
• Spatial entanglement in interacting Bose-Einstein condensates

Cited by in corpus (5)

• Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
• Measurement of Bell-type inequalities and quantum entanglement from $\Lambda$-hyperon spin correlations at high energy colliders
• Entanglement between Valence and Sea Quarks in Hadrons of 1+1 Dimensional QCD
• The Fate of Entanglement
• Universal entanglement signatures of quantum liquids as a guide to fermionic criticality